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Finding the Third Proportional to 21,553 and 31,493

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Solution

The third proportional to 21,553 and 31,493 is: 46,017.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,553 : 31,493 = 31,493 : x
  2. Step 2: Convert to fraction form
    21,553/31,493 = 31,493/x
  3. Step 3: Cross multiply
    21,553x = 31,493 × 31,493
  4. Step 4: Simplify right side
    21,553x = 991,809,049
  5. Step 5: Solve for x
    x = 991,809,049/21,553
  6. Step 6: Final answer
    x = 46,017.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.